We look at the division of 268353 by 14 
We want to figure out the number of times 268353 can be divided by 14.

Let's proceed to step 1:
14 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 14

Let's proceed to step 2:
26 divided by 14 is 1 with a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 14 away from 26, we end up with 12.
Grab the next digit (8) from the dividend, add it to 12, then carry on: 128 / 14

On to step 3:
128 divided by 14 is 9 with a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 19.0
If we subtract 126 from 128, we get 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 14

Step 4:
If we divide 23 by 14, we get 1 and a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 191.0
If we take 14 away from 23, we end up with 9.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 14

Advancing to step 5:
The number 14 fits into 95 6 times, leaving a remainder of 11.
Use 6 as the next digit of our solution. 
Result so far: 1916.0
If we take 84 away from 95, we end up with 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 14

Step 6:
When dividing 113 by 14, we get 8 with a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 19168.0
Subtract 112 from 113 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
If we divide 10 by 14, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 19168.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
14 goes into 100 7 times with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 19168.07
The remainder is 2 after subtracting 98 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 9:
14 goes into 20 1 times with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 19168.071
Subtract 14 from 20 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 10:
When dividing 60 by 14, we get 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 19168.0714
Subtract 56 from 60 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 11:
40 divided by 14 is 2 with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 19168.07142
If we take 28 away from 40, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 12:
The number 14 fits into 120 8 times, leaving a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 19168.071428
Subtract 112 from 120 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 13:
The number 14 fits into 80 5 times, leaving a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 19168.0714285
If we subtract 70 from 80, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 14:
The number 14 fits into 100 7 times, leaving a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 19168.07142857
The remainder is 2 after subtracting 98 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 19168.07142857 with a remainder of 2e-09.